Mathematical models, methods and numerical approximations for quantum non-relativistic and relativistic mechanics and electrodynamics with application to nonlinear optics

量子非相对论和相对论力学和电动力学的数学模型、方法和数值近似及其在非线性光学中的应用

• 批准号: 356075-2013
• 负责人: LorindelaGrandmaison, Emmanuel
• 金额: $ 1.09万
• 依托单位: Carleton University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=595792
• 关键词: Mathematical; models; methods; numerical; approximations

This program deals with the development of new mathematical models, methods and numerical approximations in quantum non-relativistic and relativistic mechanics, with applications to nonlinear optics. The motivation is to provide to the physics community accurate and rigorously derived mathematical models, as well as realistic simulations to understand and to optimize newly observed phenomena, when short and intense laser pulses propagate in a gas. Potentially, this research could useful in several hot topics in physics and engineering, such as: attosecond science (control of the intra-molecular dynamics using short and intense laser pulses), filamentation (laser pulses having the ability to propagate over very large distances without guiding mechanism), quantum imaging, laser-fusion (with relation to controlled nuclear fusion for energy production) and particle-antiparticle pair production.

该计划涉及量子非相对论和相对论力学中新的数学模型，方法和数值近似的发展，并应用于非线性光学。其动机是为物理界提供准确和严格推导的数学模型，以及逼真的模拟，以了解和优化新观察到的现象，当短而强的激光脉冲在气体中传播时。这项研究可能在物理学和工程学中的几个热门课题中有用，例如：阿秒科学（使用短而强的激光脉冲控制分子内动力学），量子成像（激光脉冲能够在没有引导机制的情况下传播很长的距离），量子成像，激光聚变（与用于能量生产的受控核聚变有关）和粒子-反粒子对生产。